Theorems · Theorem · algebraic topology
SSet.Subcomplex.PairingCore.ancestralRel_iff
∀ {X : SSet} {A : X.Subcomplex} (h : A.PairingCore) (s t : h.ι),
h.AncestralRel s t ↔ h.pairing.AncestralRel (h.equivII s) (h.equivII t)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement · cited by 8,337
- Set.Elemstatement · cited by 7,166
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.Nstatement · cited by 155
- SSet.Subcomplex.PairingCorestatement and proof · cited by 50
- SSet.Subcomplex.PairingCore.ιstatement and proof · cited by 42
- SSet.Subcomplex.Pairing.AncestralRelstatement · cited by 22
- SSet.Subcomplex.PairingCore.type₁proof · cited by 13
- SSet.Subcomplex.PairingCore.AncestralRelstatement · cited by 13
- SSet.Subcomplex.PairingCore.type₂proof · cited by 12
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